Fifty students are trying to raise at least $12,500 for a class trip. they have already raised $1,250. how much should each student raise, on average, in order to meet the goal? write and solve the two step inequality for this problem.

50t + 1,250 >= 12,500

On average, each student must raise at least $225.

Step-by-step explanation:

They are trying to raise "at least $12,500".

At least $12,500 means $12,500 or more.

The amount they raise must be greater than or equal to $12,500.

Each student must raise at least t.

There are 50 students, so combined, they will raise 50t.

They already have $1,250, so they will have a total of 50t + 1250.

The combined amount they raise must be greater than or equal to $12,500.

The equation is:

50t + 1,250 >= 12,500

Subtract 1250 from both sides.

50t >= 11,250

Divide both sides by 50:

t >= 225

On average, each student must raise at least $225.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

c

step-by-step explanation: